A Local Weighted Average Sampling and Reconstruction Theorem over Shift Invariant Subspaces

作者：Devaraj P^*; Yugesh S

来源：Results in Mathematics, 2017, 71(1-2): 319-332.

DOI：10.1007/s00025-016-0600-5

• Shift invariant subspace
• uniform sampling
• non uniform sampling
• average sampling

We analyse a local average sampling and reconstruction problem over some shift invariant subspaces of . We present certain necessary and sufficient conditions under which there is an average sampling expansion for both uniform sampling points and non-uniform sampling points.

• 出版日期2017-2